# chapter 10: circles

### 11 terms by alayna_weiss

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### circle

the set of all points in a plane that are equidistant form a given point

a segment whose endpoints are the center of the circle and a point on the circle

### diameter

a segment whose endpoints are both on the circle and passes through the center

### chord

a segment whose endpoints are both on the circle

### secant

a line that intersects the circle in two points

### tangent

a line that intersects the circle in one point that is coplanar

### concentric circles

have the same center and are coplanar

### common tangent

tangent lines to more than one circle in one plane

### thm 10-1

a tangent line is perpendicular to the radius at the point of tangency

### thm 10-2

in a plane, if a line is perpendicular to a radius at its endpoint on the circle then the line is tangent to the circle

### thm 10-3

tangent segments are congruent

Example: